Figure 4. 13 shows how the centered surfboard data are projected onto the first column of the

Question:

Figure 4.

13 shows how the centered "surfboard" data are projected onto the first column of the principal component matrix $\mathbf{U}$. Suppose we project the data instead onto the plane spanned by the first two columns of $\mathbf{U}$. What are $a$ and $b$ in the representation $a x_{1}+b x_{2}=x_{3}$ of this plane?

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